Transformasi Fourier Multiplikatif Dan Aplikasinya Pada Persamaan Diferensial Multiplikatif

Authors

  • Aurizan Himmi Azhar UIN Sunan Kalijaga Yogyakarta, Indonesia
  • Sugiyanto Sugiyanto UIN Sunan Kalijaga Yogyakarta, Indonesia
  • Muhammad Wakhid Musthofa UIN Sunan Kalijaga Yogyakarta, Indonesia
  • Muhamad Zaki Riyanto UIN Sunan Kalijaga Yogyakarta, Indonesia

DOI:

https://doi.org/10.31316/j.derivat.v8i2.1996

Abstract

This research is a development of multiplicative calculus. This study is about the Fourier multiplicative transformation and its application to the multiplicative differential equation. This study aims to determine the Fourier multiplicative transformation as well as the multiplicative differential equation. This study contains numerical simulations to solve the problem of ordinary multiplicative differential equations of the first order. The methods used in this research are descriptive research methods through the study of literature. The results of this study are the application of multiplicative Fourier transformations to multiplicative differential equations and numerical solutions of ordinary multiplicative differential equations with the Adam Bashforth-Moulton multiplicative method.

 

Keywords: Multiplicative Calculus, Fourier Multiplicative Transformation, Multiplicative Differential Equations, Adams Bashforth Moulton Multiplicative Method

References

Hussain Bhat, Aarif, dkk. 2019. Multiplicative Fourier Transform and its Applications to Multiplicative Differential Equations, Journal of Computer and Mathematical Sciences, Vol.10(2),375-383 ISSN 2319-8133, Diunduh di http://www.compmath-journal.org/dnload/Aarif-Hussain-Bhat-Javid-Majid-Tafazul-Rehman-Shah-Imtiyaz-Ahmad-Wani4-and-Renu-Jain5/CMJV10I02P0375.pdf , pada 21 Maret 2021.

Riza, Mustafa dan Hatice Aktöre. 2015. The Runge–Kutta method in geometric multiplicative calculus. Cambridge University Press.

Setiawan, Arif. 2014. textit{Metode Adams Bashforth–Moulton Multiplikatif Untuk Penyelesaian Persamaan Diferensial Biasa Multiplikatif}, Skripsi. Tidak Diterbitkan, Jurusan Sains Matematika F-MIPA UNS: Surakarta. Diakses dari Metode Adams Bashforth–Moulton Multiplikatif Untuk Penyelesaian Persamaan Diferensial Biasa Multiplikatif (uns.ac.id).

Sugiyanto dan Slamet Mugiyono. 2011. Persamaan Diferensial Biasa. Yogyakarta: SUKA-Press UIN Sunan Kalijaga.

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Published

2021-12-20

Issue

Vol. 8 No. 2 (2021): Jurnal Derivat (Desember 2021)

Section

Articles

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